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What is the Least Common Multiple of 11657 and 11668?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 11657 and 11668 is 136013876.

LCM(11657,11668) = 136013876

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Least Common Multiple of 11657 and 11668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11657 and 11668, than apply into the LCM equation.

GCF(11657,11668) = 1
LCM(11657,11668) = ( 11657 × 11668) / 1
LCM(11657,11668) = 136013876 / 1
LCM(11657,11668) = 136013876

Least Common Multiple (LCM) of 11657 and 11668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11657 and 11668. First we will calculate the prime factors of 11657 and 11668.

Prime Factorization of 11657

Prime factors of 11657 are 11657. Prime factorization of 11657 in exponential form is:

11657 = 116571

Prime Factorization of 11668

Prime factors of 11668 are 2, 2917. Prime factorization of 11668 in exponential form is:

11668 = 22 × 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 11657 and 11668.

LCM(11657,11668) = 116571 × 22 × 29171
LCM(11657,11668) = 136013876